The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime

DOI10.1088/1751-8113/47/32/325204zbMath1301.81062arXiv1404.4252OpenAlexW2027075418MaRDI QIDQ2878630

Germán Sierra

Publication date: 4 September 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4252

zbMATH Keywords

zeta functionquantum mechanicsquantum chaosenergy levelsDirac fermionRiemann zerosaccelerated observer

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Many-body theory; quantum Hall effect (81V70) Special relativity (83A05) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Equations of motion in general relativity and gravitational theory (83C10)

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